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The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients

文献类型：期刊论文

作者Li, Mingjie1; Wang, Teng2; Wang, Yi2,3
刊名ANALYSIS AND APPLICATIONS
出版日期2015-09-01
卷号13期号:5页码:555-589
关键词Compressible Navier-Stokes equations temperature-dependent transport coefficients zero dissipation limit rarefaction wave vacuum
ISSN号0219-5305
DOI10.1142/S0219530514500456
英文摘要In this paper, we study the zero dissipation limit of the one-dimensional full compressible Navier-Stokes equations with temperature-dependent viscosity and heat-conduction coefficient. It is proved that given a rarefaction wave with one-side vacuum state to the full compressible Euler equations, we can construct a sequence of solutions to the full compressible Navier-Stokes equations which converge to the above rarefaction wave with vacuum as the viscosity and the heat-conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The main difficulty in our proof lies in the degeneracies of the density, the temperature and the temperature-dependent viscosities at the vacuum region in the zero dissipation limit.
资助项目NSFC[11201503] ; NSFC[11171326] ; NSFC[11322106]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000357134400004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20272]  
专题应用数学研究所
通讯作者Wang, Teng
作者单位1.Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
3.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China
推荐引用方式
GB/T 7714		 Li, Mingjie,Wang, Teng,Wang, Yi. The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients[J]. ANALYSIS AND APPLICATIONS,2015,13(5):555-589.
APA Li, Mingjie,Wang, Teng,&Wang, Yi.(2015).The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients.ANALYSIS AND APPLICATIONS,13(5),555-589.
MLA Li, Mingjie,et al."The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients".ANALYSIS AND APPLICATIONS 13.5(2015):555-589.

入库方式： OAI收割

来源：数学与系统科学研究院

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